Counting weak Heyting algebras on finite distributive lattices

被引：3
|
作者：
Alizadeh, Majid [1 ]
Joharizadeh, Nima [1 ]
机构：
[1] Univ Tehran, Stat & Comp Sci, Coll Sci, Tehran, Iran
来源：
LOGIC JOURNAL OF THE IGPL | 2015年 / 23卷 / 02期
关键词：
Subintuitionistic logic; distributive lattice; weak Heyting algebra; Visser algebra; Lob algebra; Heyting algebra;
D O I：
10.1093/jigpal/jzu033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Weak Heyting algebras (Celani and Jansana, 2005, Math. Log. Quart., 51, 219-246) encompass subvarieties of the variety of Heyting algebras and subvarieties of the variety of modal algebras, modulo an appropriate translation. In this article, we present an algorithm to construct and count all non-isomorphic weak Heyting algebras, weak Heyting algebras that are Visser algebras and Lob algebras on a given finite distributive lattice.
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页码：247 / 258
页数：12
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